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  •   University of Thessaly Institutional Repository
  • Επιστημονικές Δημοσιεύσεις Μελών ΠΘ (ΕΔΠΘ)
  • Δημοσιεύσεις σε περιοδικά, συνέδρια, κεφάλαια βιβλίων κλπ.
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  •   University of Thessaly Institutional Repository
  • Επιστημονικές Δημοσιεύσεις Μελών ΠΘ (ΕΔΠΘ)
  • Δημοσιεύσεις σε περιοδικά, συνέδρια, κεφάλαια βιβλίων κλπ.
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The Problem of Tension-Torsion of Pretwisted Elastic Beams Revisited

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Author
Aravas N., Papadioti I.
Date
2022
Language
en
DOI
10.1061/(ASCE)EM.1943-7889.0002037
Keyword
Potential energy
Beam theories
Elastic beam
Generalized displacements
Isotropics
One-dimensional
Pre-twisted
Pretwisted beam
Technical beam theory
Tension-torsion coupling
Torsion coupling
Torsional stress
displacement
elastic property
finite element method
Poisson ratio
potential energy
tension
three-dimensional modeling
torsion
American Society of Civil Engineers (ASCE)
Metadata display
Abstract
A one-dimensional technical theory for pretwisted isotropic linearly elastic beams loaded in tension and torsion was developed. The analysis was based on a kinematically admissible field written in terms of three generalized displacements, which were determined from the theorem of minimum potential energy. A general analytical solution was developed. The problem of a pretwisted beam with a built-in end and loaded in tension and torsion at the other end was analyzed. The problem also was solved by carrying out detailed three-dimensional finite-element calculations. The predictions of the technical theory agreed very well with the results of the finite-element solution. The effects of Poisson's ratio were examined, and the applicability of the model to beams of various lengths was discussed. © 2021 American Society of Civil Engineers.
URI
http://hdl.handle.net/11615/70748
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  • Δημοσιεύσεις σε περιοδικά, συνέδρια, κεφάλαια βιβλίων κλπ. [19735]

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